Arithmetic of p-adic Modular Forms (Paperback)

Fernando Q. Gouvea

ISBN 10: 3540189467 / ISBN 13: 9783540189466

Editore: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 1988

Riguardo questo articolo

Paperback. The central topic of this research monograph is the relation between p-adic modular forms and p-adic Galois representations, and in particular the theory of deformations of Galois representations recently introduced by Mazur. The classical theory of modular forms is assumed known to the reader, but the p-adic theory is reviewed in detail, with ample intuitive and heuristic discussion, so that the book will serve as a convenient point of entry to research in that area. The results on the U operator and on Galois representations are new, and will be of interest even to the experts. A list of further problems in the field is included to guide the beginner in his research. The book will thus be of interest to number theorists who wish to learn about p-adic modular forms, leading them rapidly to interesting research, and also to the specialists in the subject. The central topic of this research monograph is the relation between p-adic modular forms and p-adic Galois representations, and in particular the theory of deformations of Galois representations recently introduced by Mazur. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Codice articolo 9783540189466

Dati bibliografici

• Titolo: Arithmetic of p-adic Modular Forms (Paperback)
• Editore: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin
• Data di pubblicazione: 1988
• Lingua: Inglese
• ISBN 10: 3540189467
• ISBN 13: 9783540189466
• Rilegatura: Paperback
• Condizione: new

Descrizione articolo

Riassunto

The central topic of this research monograph is the relation between p-adic modular forms and p-adic Galois representations, and in particular the theory of deformations of Galois representations recently introduced by Mazur. The classical theory of modular forms is assumed known to the reader, but the p-adic theory is reviewed in detail, with ample intuitive and heuristic discussion, so that the book will serve as a convenient point of entry to research in that area. The results on the U operator and on Galois representations are new, and will be of interest even to the experts. A list of further problems in the field is included to guide the beginner in his research. The book will thus be of interest to number theorists who wish to learn about p-adic modular forms, leading them rapidly to interesting research, and also to the specialists in the subject.

Contenuti

p-adic modular forms.- The hecke and U operators.- Galois representations.